TSTP Solution File: SEU049+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SEU049+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 03:04:25 EDT 2024
% Result : Theorem 17.29s 3.15s
% Output : CNFRefutation 17.29s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_funct_1) ).
fof(f6,axiom,
! [X0,X1] :
( singleton(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> X0 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f26,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( in(X0,relation_dom(X1))
=> relation_image(X1,singleton(X0)) = singleton(apply(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t117_funct_1) ).
fof(f27,negated_conjecture,
~ ! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( in(X0,relation_dom(X1))
=> relation_image(X1,singleton(X0)) = singleton(apply(X1,X0)) ) ),
inference(negated_conjecture,[],[f26]) ).
fof(f30,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
fof(f48,plain,
! [X0] :
( ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f49,plain,
! [X0] :
( ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f48]) ).
fof(f54,plain,
? [X0,X1] :
( relation_image(X1,singleton(X0)) != singleton(apply(X1,X0))
& in(X0,relation_dom(X1))
& function(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f55,plain,
? [X0,X1] :
( relation_image(X1,singleton(X0)) != singleton(apply(X1,X0))
& in(X0,relation_dom(X1))
& function(X1)
& relation(X1) ),
inference(flattening,[],[f54]) ).
fof(f59,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f67,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( apply(X0,X4) != X3
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) )
| ~ in(X3,X2) )
& ( ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( apply(X0,X4) != X3
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) ) )
& ( ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) )
| ~ in(X3,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f49]) ).
fof(f68,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( apply(X0,X4) != X3
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) )
| ~ in(X3,X2) )
& ( ? [X5] :
( apply(X0,X5) = X3
& in(X5,X1)
& in(X5,relation_dom(X0)) )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( apply(X0,X7) != X6
| ~ in(X7,X1)
| ~ in(X7,relation_dom(X0)) ) )
& ( ? [X8] :
( apply(X0,X8) = X6
& in(X8,X1)
& in(X8,relation_dom(X0)) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f67]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( apply(X0,X4) != X3
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) )
| ~ in(X3,X2) )
& ( ? [X5] :
( apply(X0,X5) = X3
& in(X5,X1)
& in(X5,relation_dom(X0)) )
| in(X3,X2) ) )
=> ( ( ! [X4] :
( apply(X0,X4) != sK0(X0,X1,X2)
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( ? [X5] :
( apply(X0,X5) = sK0(X0,X1,X2)
& in(X5,X1)
& in(X5,relation_dom(X0)) )
| in(sK0(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ? [X5] :
( apply(X0,X5) = sK0(X0,X1,X2)
& in(X5,X1)
& in(X5,relation_dom(X0)) )
=> ( sK0(X0,X1,X2) = apply(X0,sK1(X0,X1,X2))
& in(sK1(X0,X1,X2),X1)
& in(sK1(X0,X1,X2),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X0,X1,X6] :
( ? [X8] :
( apply(X0,X8) = X6
& in(X8,X1)
& in(X8,relation_dom(X0)) )
=> ( apply(X0,sK2(X0,X1,X6)) = X6
& in(sK2(X0,X1,X6),X1)
& in(sK2(X0,X1,X6),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ( ( ! [X4] :
( apply(X0,X4) != sK0(X0,X1,X2)
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( ( sK0(X0,X1,X2) = apply(X0,sK1(X0,X1,X2))
& in(sK1(X0,X1,X2),X1)
& in(sK1(X0,X1,X2),relation_dom(X0)) )
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( apply(X0,X7) != X6
| ~ in(X7,X1)
| ~ in(X7,relation_dom(X0)) ) )
& ( ( apply(X0,sK2(X0,X1,X6)) = X6
& in(sK2(X0,X1,X6),X1)
& in(sK2(X0,X1,X6),relation_dom(X0)) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f68,f71,f70,f69]) ).
fof(f73,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X0 = X2
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f74,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f73]) ).
fof(f75,plain,
! [X0,X1] :
( ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) )
=> ( ( sK3(X0,X1) != X0
| ~ in(sK3(X0,X1),X1) )
& ( sK3(X0,X1) = X0
| in(sK3(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ( ( sK3(X0,X1) != X0
| ~ in(sK3(X0,X1),X1) )
& ( sK3(X0,X1) = X0
| in(sK3(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f74,f75]) ).
fof(f99,plain,
( ? [X0,X1] :
( relation_image(X1,singleton(X0)) != singleton(apply(X1,X0))
& in(X0,relation_dom(X1))
& function(X1)
& relation(X1) )
=> ( relation_image(sK16,singleton(sK15)) != singleton(apply(sK16,sK15))
& in(sK15,relation_dom(sK16))
& function(sK16)
& relation(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
( relation_image(sK16,singleton(sK15)) != singleton(apply(sK16,sK15))
& in(sK15,relation_dom(sK16))
& function(sK16)
& relation(sK16) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f55,f99]) ).
fof(f101,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f102,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) )
=> ( ( ~ in(sK17(X0,X1),X1)
| ~ in(sK17(X0,X1),X0) )
& ( in(sK17(X0,X1),X1)
| in(sK17(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK17(X0,X1),X1)
| ~ in(sK17(X0,X1),X0) )
& ( in(sK17(X0,X1),X1)
| in(sK17(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f101,f102]) ).
fof(f110,plain,
! [X2,X0,X1,X6] :
( in(sK2(X0,X1,X6),X1)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f111,plain,
! [X2,X0,X1,X6] :
( apply(X0,sK2(X0,X1,X6)) = X6
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f112,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| apply(X0,X7) != X6
| ~ in(X7,X1)
| ~ in(X7,relation_dom(X0))
| relation_image(X0,X1) != X2
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f117,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f118,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f151,plain,
relation(sK16),
inference(cnf_transformation,[],[f100]) ).
fof(f152,plain,
function(sK16),
inference(cnf_transformation,[],[f100]) ).
fof(f153,plain,
in(sK15,relation_dom(sK16)),
inference(cnf_transformation,[],[f100]) ).
fof(f154,plain,
relation_image(sK16,singleton(sK15)) != singleton(apply(sK16,sK15)),
inference(cnf_transformation,[],[f100]) ).
fof(f157,plain,
! [X0,X1] :
( X0 = X1
| in(sK17(X0,X1),X1)
| in(sK17(X0,X1),X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f158,plain,
! [X0,X1] :
( X0 = X1
| ~ in(sK17(X0,X1),X1)
| ~ in(sK17(X0,X1),X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f165,plain,
! [X2,X0,X1,X7] :
( in(apply(X0,X7),X2)
| ~ in(X7,X1)
| ~ in(X7,relation_dom(X0))
| relation_image(X0,X1) != X2
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f112]) ).
fof(f166,plain,
! [X0,X1,X7] :
( in(apply(X0,X7),relation_image(X0,X1))
| ~ in(X7,X1)
| ~ in(X7,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f165]) ).
fof(f167,plain,
! [X0,X1,X6] :
( apply(X0,sK2(X0,X1,X6)) = X6
| ~ in(X6,relation_image(X0,X1))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f111]) ).
fof(f168,plain,
! [X0,X1,X6] :
( in(sK2(X0,X1,X6),X1)
| ~ in(X6,relation_image(X0,X1))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f110]) ).
fof(f170,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f118]) ).
fof(f171,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f170]) ).
fof(f172,plain,
! [X3,X0] :
( X0 = X3
| ~ in(X3,singleton(X0)) ),
inference(equality_resolution,[],[f117]) ).
cnf(c_56,plain,
( ~ in(X0,relation_dom(X1))
| ~ in(X0,X2)
| ~ function(X1)
| ~ relation(X1)
| in(apply(X1,X0),relation_image(X1,X2)) ),
inference(cnf_transformation,[],[f166]) ).
cnf(c_57,plain,
( ~ in(X0,relation_image(X1,X2))
| ~ function(X1)
| ~ relation(X1)
| apply(X1,sK2(X1,X2,X0)) = X0 ),
inference(cnf_transformation,[],[f167]) ).
cnf(c_58,plain,
( ~ in(X0,relation_image(X1,X2))
| ~ function(X1)
| ~ relation(X1)
| in(sK2(X1,X2,X0),X2) ),
inference(cnf_transformation,[],[f168]) ).
cnf(c_62,plain,
in(X0,singleton(X0)),
inference(cnf_transformation,[],[f171]) ).
cnf(c_63,plain,
( ~ in(X0,singleton(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f172]) ).
cnf(c_94,negated_conjecture,
relation_image(sK16,singleton(sK15)) != singleton(apply(sK16,sK15)),
inference(cnf_transformation,[],[f154]) ).
cnf(c_95,negated_conjecture,
in(sK15,relation_dom(sK16)),
inference(cnf_transformation,[],[f153]) ).
cnf(c_96,negated_conjecture,
function(sK16),
inference(cnf_transformation,[],[f152]) ).
cnf(c_97,negated_conjecture,
relation(sK16),
inference(cnf_transformation,[],[f151]) ).
cnf(c_100,plain,
( ~ in(sK17(X0,X1),X0)
| ~ in(sK17(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f158]) ).
cnf(c_101,plain,
( X0 = X1
| in(sK17(X0,X1),X0)
| in(sK17(X0,X1),X1) ),
inference(cnf_transformation,[],[f157]) ).
cnf(c_5243,plain,
relation_dom(sK16) = sP0_iProver_def,
definition ).
cnf(c_5244,plain,
singleton(sK15) = sP1_iProver_def,
definition ).
cnf(c_5245,plain,
relation_image(sK16,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_5246,plain,
apply(sK16,sK15) = sP3_iProver_def,
definition ).
cnf(c_5247,plain,
singleton(sP3_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_5248,negated_conjecture,
relation(sK16),
inference(demodulation,[status(thm)],[c_97]) ).
cnf(c_5249,negated_conjecture,
function(sK16),
inference(demodulation,[status(thm)],[c_96]) ).
cnf(c_5250,negated_conjecture,
in(sK15,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_95,c_5243]) ).
cnf(c_5251,negated_conjecture,
sP2_iProver_def != sP4_iProver_def,
inference(demodulation,[status(thm)],[c_94,c_5246,c_5247,c_5244,c_5245]) ).
cnf(c_5876,plain,
in(sK15,sP1_iProver_def),
inference(superposition,[status(thm)],[c_5244,c_62]) ).
cnf(c_5897,plain,
in(sP3_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_5247,c_62]) ).
cnf(c_6006,plain,
( ~ in(X0,sP4_iProver_def)
| X0 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_5247,c_63]) ).
cnf(c_6706,plain,
( ~ in(X0,sP2_iProver_def)
| ~ function(sK16)
| ~ relation(sK16)
| apply(sK16,sK2(sK16,sP1_iProver_def,X0)) = X0 ),
inference(superposition,[status(thm)],[c_5245,c_57]) ).
cnf(c_6707,plain,
( ~ in(X0,sP2_iProver_def)
| apply(sK16,sK2(sK16,sP1_iProver_def,X0)) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_6706,c_5248,c_5249]) ).
cnf(c_6767,plain,
( ~ in(sK15,relation_dom(sK16))
| ~ in(sK15,X0)
| ~ function(sK16)
| ~ relation(sK16)
| in(sP3_iProver_def,relation_image(sK16,X0)) ),
inference(superposition,[status(thm)],[c_5246,c_56]) ).
cnf(c_6783,plain,
( ~ in(sK15,X0)
| ~ in(sK15,sP0_iProver_def)
| ~ function(sK16)
| ~ relation(sK16)
| in(sP3_iProver_def,relation_image(sK16,X0)) ),
inference(light_normalisation,[status(thm)],[c_6767,c_5243]) ).
cnf(c_6784,plain,
( ~ in(sK15,X0)
| in(sP3_iProver_def,relation_image(sK16,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6783,c_5248,c_5249,c_5250]) ).
cnf(c_6867,plain,
( ~ in(sK15,sP1_iProver_def)
| in(sP3_iProver_def,sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_5245,c_6784]) ).
cnf(c_6872,plain,
in(sP3_iProver_def,sP2_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_6867,c_5876]) ).
cnf(c_6914,plain,
( apply(sK16,sK2(sK16,sP1_iProver_def,sK17(X0,sP2_iProver_def))) = sK17(X0,sP2_iProver_def)
| X0 = sP2_iProver_def
| in(sK17(X0,sP2_iProver_def),X0) ),
inference(superposition,[status(thm)],[c_101,c_6707]) ).
cnf(c_12380,plain,
( apply(sK16,sK2(sK16,sP1_iProver_def,sK17(sP4_iProver_def,sP2_iProver_def))) = sK17(sP4_iProver_def,sP2_iProver_def)
| sK17(sP4_iProver_def,sP2_iProver_def) = sP3_iProver_def
| sP2_iProver_def = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_6914,c_6006]) ).
cnf(c_12392,plain,
( apply(sK16,sK2(sK16,sP1_iProver_def,sK17(sP4_iProver_def,sP2_iProver_def))) = sK17(sP4_iProver_def,sP2_iProver_def)
| sK17(sP4_iProver_def,sP2_iProver_def) = sP3_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_12380,c_5251]) ).
cnf(c_12446,plain,
( ~ in(sK2(sK16,sP1_iProver_def,sK17(sP4_iProver_def,sP2_iProver_def)),relation_dom(sK16))
| ~ in(sK2(sK16,sP1_iProver_def,sK17(sP4_iProver_def,sP2_iProver_def)),X0)
| ~ function(sK16)
| ~ relation(sK16)
| sK17(sP4_iProver_def,sP2_iProver_def) = sP3_iProver_def
| in(sK17(sP4_iProver_def,sP2_iProver_def),relation_image(sK16,X0)) ),
inference(superposition,[status(thm)],[c_12392,c_56]) ).
cnf(c_12462,plain,
( ~ in(sK2(sK16,sP1_iProver_def,sK17(sP4_iProver_def,sP2_iProver_def)),X0)
| ~ in(sK2(sK16,sP1_iProver_def,sK17(sP4_iProver_def,sP2_iProver_def)),sP0_iProver_def)
| ~ function(sK16)
| ~ relation(sK16)
| sK17(sP4_iProver_def,sP2_iProver_def) = sP3_iProver_def
| in(sK17(sP4_iProver_def,sP2_iProver_def),relation_image(sK16,X0)) ),
inference(light_normalisation,[status(thm)],[c_12446,c_5243]) ).
cnf(c_12463,plain,
( ~ in(sK2(sK16,sP1_iProver_def,sK17(sP4_iProver_def,sP2_iProver_def)),X0)
| ~ in(sK2(sK16,sP1_iProver_def,sK17(sP4_iProver_def,sP2_iProver_def)),sP0_iProver_def)
| sK17(sP4_iProver_def,sP2_iProver_def) = sP3_iProver_def
| in(sK17(sP4_iProver_def,sP2_iProver_def),relation_image(sK16,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12462,c_5248,c_5249]) ).
cnf(c_12684,plain,
( ~ in(sK2(sK16,sP1_iProver_def,sK17(sP4_iProver_def,sP2_iProver_def)),sP0_iProver_def)
| sK17(sP4_iProver_def,sP2_iProver_def) = sP3_iProver_def
| in(sK17(sP4_iProver_def,sP2_iProver_def),relation_image(sK16,singleton(sK2(sK16,sP1_iProver_def,sK17(sP4_iProver_def,sP2_iProver_def))))) ),
inference(superposition,[status(thm)],[c_62,c_12463]) ).
cnf(c_32207,plain,
( ~ in(X0,sP1_iProver_def)
| X0 = sK15 ),
inference(superposition,[status(thm)],[c_5244,c_63]) ).
cnf(c_32208,plain,
( ~ in(X0,sP4_iProver_def)
| X0 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_5247,c_63]) ).
cnf(c_32328,plain,
( sK17(sP4_iProver_def,X0) = sP3_iProver_def
| X0 = sP4_iProver_def
| in(sK17(sP4_iProver_def,X0),X0) ),
inference(superposition,[status(thm)],[c_101,c_32208]) ).
cnf(c_32556,plain,
( ~ in(X0,relation_image(X1,sP1_iProver_def))
| ~ function(X1)
| ~ relation(X1)
| sK2(X1,sP1_iProver_def,X0) = sK15 ),
inference(superposition,[status(thm)],[c_58,c_32207]) ).
cnf(c_32906,plain,
( ~ in(X0,sP2_iProver_def)
| ~ function(sK16)
| ~ relation(sK16)
| apply(sK16,sK2(sK16,sP1_iProver_def,X0)) = X0 ),
inference(superposition,[status(thm)],[c_5245,c_57]) ).
cnf(c_32907,plain,
( ~ in(X0,sP2_iProver_def)
| apply(sK16,sK2(sK16,sP1_iProver_def,X0)) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_32906,c_5248,c_5249]) ).
cnf(c_35506,plain,
( apply(sK16,sK2(sK16,sP1_iProver_def,sK17(sP4_iProver_def,sP2_iProver_def))) = sK17(sP4_iProver_def,sP2_iProver_def)
| sK17(sP4_iProver_def,sP2_iProver_def) = sP3_iProver_def
| sP2_iProver_def = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_32328,c_32907]) ).
cnf(c_35526,plain,
( apply(sK16,sK2(sK16,sP1_iProver_def,sK17(sP4_iProver_def,sP2_iProver_def))) = sK17(sP4_iProver_def,sP2_iProver_def)
| sK17(sP4_iProver_def,sP2_iProver_def) = sP3_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_35506,c_5251]) ).
cnf(c_42036,plain,
( ~ in(X0,sP2_iProver_def)
| ~ function(sK16)
| ~ relation(sK16)
| sK2(sK16,sP1_iProver_def,X0) = sK15 ),
inference(superposition,[status(thm)],[c_5245,c_32556]) ).
cnf(c_42037,plain,
( ~ in(X0,sP2_iProver_def)
| sK2(sK16,sP1_iProver_def,X0) = sK15 ),
inference(forward_subsumption_resolution,[status(thm)],[c_42036,c_5248,c_5249]) ).
cnf(c_42886,plain,
( sK2(sK16,sP1_iProver_def,sK17(sP4_iProver_def,sP2_iProver_def)) = sK15
| sK17(sP4_iProver_def,sP2_iProver_def) = sP3_iProver_def
| sP2_iProver_def = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_32328,c_42037]) ).
cnf(c_42913,plain,
( sK2(sK16,sP1_iProver_def,sK17(sP4_iProver_def,sP2_iProver_def)) = sK15
| sK17(sP4_iProver_def,sP2_iProver_def) = sP3_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_42886,c_5251]) ).
cnf(c_43503,plain,
( apply(sK16,sK15) = sK17(sP4_iProver_def,sP2_iProver_def)
| sK17(sP4_iProver_def,sP2_iProver_def) = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_42913,c_35526]) ).
cnf(c_43504,plain,
sK17(sP4_iProver_def,sP2_iProver_def) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_43503,c_5246]) ).
cnf(c_43797,plain,
sK17(sP4_iProver_def,sP2_iProver_def) = sP3_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_12684,c_43504]) ).
cnf(c_43812,plain,
( ~ in(sK17(sP4_iProver_def,sP2_iProver_def),sP4_iProver_def)
| ~ in(sP3_iProver_def,sP2_iProver_def)
| sP2_iProver_def = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_43797,c_100]) ).
cnf(c_43816,plain,
( ~ in(sP3_iProver_def,sP2_iProver_def)
| ~ in(sP3_iProver_def,sP4_iProver_def)
| sP2_iProver_def = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_43812,c_43797]) ).
cnf(c_43817,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_43816,c_5251,c_5897,c_6872]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SEU049+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.02/0.12 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 2 18:02:35 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.19/0.44 Running first-order theorem proving
% 0.19/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 17.29/3.15 % SZS status Started for theBenchmark.p
% 17.29/3.15 % SZS status Theorem for theBenchmark.p
% 17.29/3.15
% 17.29/3.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.29/3.15
% 17.29/3.15 ------ iProver source info
% 17.29/3.15
% 17.29/3.15 git: date: 2024-05-02 19:28:25 +0000
% 17.29/3.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.29/3.15 git: non_committed_changes: false
% 17.29/3.15
% 17.29/3.15 ------ Parsing...
% 17.29/3.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 17.29/3.15
% 17.29/3.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 17.29/3.15
% 17.29/3.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.29/3.15
% 17.29/3.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.29/3.15 ------ Proving...
% 17.29/3.15 ------ Problem Properties
% 17.29/3.15
% 17.29/3.15
% 17.29/3.15 clauses 60
% 17.29/3.15 conjectures 4
% 17.29/3.15 EPR 28
% 17.29/3.15 Horn 53
% 17.29/3.15 unary 32
% 17.29/3.15 binary 11
% 17.29/3.15 lits 120
% 17.29/3.15 lits eq 22
% 17.29/3.15 fd_pure 0
% 17.29/3.15 fd_pseudo 0
% 17.29/3.15 fd_cond 1
% 17.29/3.15 fd_pseudo_cond 9
% 17.29/3.15 AC symbols 0
% 17.29/3.15
% 17.29/3.15 ------ Schedule dynamic 5 is on
% 17.29/3.15
% 17.29/3.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.29/3.15
% 17.29/3.15
% 17.29/3.15 ------
% 17.29/3.15 Current options:
% 17.29/3.15 ------
% 17.29/3.15
% 17.29/3.15
% 17.29/3.15
% 17.29/3.15
% 17.29/3.15 ------ Proving...
% 17.29/3.15
% 17.29/3.15
% 17.29/3.15 % SZS status Theorem for theBenchmark.p
% 17.29/3.15
% 17.29/3.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.29/3.15
% 17.29/3.15
%------------------------------------------------------------------------------